Taking into account the Brønsted-Lowry acid-base theory, HPO₄⁻² is conjugate base of H₂PO₄⁻.
Brønsted-Lowry acid-base theory
The Brønsted-Lowry acid-base theory (or the Brønsted-Lowry theory) identifies acids and bases based on whether the species accepts or donates protons or H⁺.
According to this theory, acids are proton donors while bases are proton acceptors.
So, reactions between acids and bases are H⁺ proton transfer reactions, causing the acid to form its conjugate base and the base to form its conjugated acid by exchanging a proton.
In other words, a conjugate base is an ion or molecule resulting from the acid that loses the proton, while a conjugate acid is an ion or molecule resulting from the base that gains the proton:
acid + base ⇄ conjugate base + conjugate acid
This case
In this case, you know:
H₂PO₄⁻ + NH₃ → HPO₄⁻² + NH₄⁺
H₂PO₄⁻ behaves like acid because donates an H⁺ proton while NH₃ behaves like base because accepts an H⁺ proton from the acid.
So, NH₄⁺ is the conjugate acid of the NH₃ and HPO₄⁻² is conjugate base of H₂PO₄⁻.
In summary, HPO₄⁻² is conjugate base of H₂PO₄⁻.
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